Question

Solve |x - 6| + 8 = 17

Answer 1

Answer:

x=15

Step-by-step explanation:

(x-6)+8=17 then remove unnecessary parentheses x-6+8=17 then calculate the sum x + 2 = 17 the move constant to the right hand side and change its sign x = 17 - 2 then subtract the numbers x=15 btw you should use photo math that's what I used

Answer 2

|x - 6| + 8 = 17

Subtract 8 from both sides.

|x - 6| + 8 - 8 = 17 - 8

|x - 6| = 9

Set x - 6 to 9 and -9, which leads to two cases.

x - 6 = 9

x = 9 + 6

x = 15

x - 6 = -9

x = -9 + 3

x = -6

Which is the answer?

Plug both values into the original absolute value equation to see which yields a true statement.

Let x = 15

|15 - 6| + 8 = 17

|9| + 8 = 17

9 + 8 = 17

17 = 17

Let x = -6

|-6 - 6| + 8 = 17

|-12| + 8 = 17

12 + 8 = 17

20 DOES NOT EQUAL 17.

Answer: x = 15